The authors prove an infinite-dimensional version of the generalized Mountain Pass Theorem and apply it to establish existence of at least one solution for a semilinear elliptic system with indefinite weights in R^2.
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An infinite-dimensional mountain pass theorem with applications to nonlinear elliptic systems
The authors prove an infinite-dimensional version of the generalized Mountain Pass Theorem and apply it to establish existence of at least one solution for a semilinear elliptic system with indefinite weights in R^2.